Answer:
The coordinates of the image are
W'(2,-4)
X'(3,-6)
Y'(6,0)
Z'(5,-2)
Step-by-step explanation:
we know that
The translation is 8 units right and 3 units down
so
The rule of the translation is
(x,y) ----> (x+8,y-3)
Apply the rule of the translation to the coordinates of the pre-image WXYZ to obtain the coordinates of the image W'X'Y'Z'
coordinate W'
W(-6, -1) ----> W'(-6+8,-1-3)
W(-6, -1) ----> W'(2,-4)
coordinate X'
X(-5, -3) ----> X'(-5+8,-3-3)
X(-5, -3) ----> X'(3,-6)
coordinate Y'
Y(-2, 3) ----> Y'(-2+8,3-3)
Y(-2, 3) ----> Y'(6,0)
coordinate Z'
Z(-3, 1) ----> Z'(-3+8,1-3)
Z(-3, 1) ----> Z'(5,-2)
therefore
The coordinates of the image are
W'(2,-4)
X'(3,-6)
Y'(6,0)
Z'(5,-2)